Nochiziqli zanjirlarga garmonik va bigarmonik tebranishlar berilganida uning chiqishidagi ta’sir spektrini grafik va analitik tahlil qilishni o’rganish

O’ZBEKISTON RESPUBLIKASI AXBOROT
TEXNOLOGIYALARI VA KOMMUNIKATSIYALARINI RIVOJLANTIRISH VAZIRLIGI
MUHAMMAD AL-XORAZMIY NOMIDAGI TOSHKENT AXBOROT TEXNOLOGIYALARI UNIVERSITETI
Elektronika va radiotexnika kafedrasi
Tizimlar va signallarni qayta ishlash fani bo‘yicha
MUSTAQIL ISH
Mavzu: Nochiziqli zanjirlar chiqishidagi signallarning spectral tahlili
Guruh 830-18 .
Bajardi: Eshboyev.Q
Tekshiridi: Shoyusopova.X

TOSHKENT 2020

Ishning maqsadi: nochiziqli zanjirlarga garmonik va bigarmonik tebranishlar berilganida uning chiqishidagi ta’sir spektrini grafik va analitik tahlil qilishni o’rganish.
Berilganlar:

f1 = 14 kGs,		f2 = 23 kGs,		f3 = 11 kGs,
Um1 = 6.5 V,		Um2 = 2.4 V,		Um3 = 2.5 V,
a0 = 0.5 mA,		a1 = 0.3 mA/V,		a2 = 0.1 mA/V^2,
u1=Um1sinω1t		u2=Um2sinω2t		u=u1-u2

1. 
   Berilganlarga asoslanib NE ning kirishiga ta’sir qiluvchi signalning vaqt diagrammasini masshtab asosida chizish.
   

𝑢 = 𝑈_𝑚1 sin 𝜔₁𝑡 − 𝑈_𝑚2 sin 𝜔₂𝑡 = 𝑈_𝑚1 sin 2𝜋𝑓₁𝑡 − 𝑈_𝑚2 sin 2𝜋𝑓₂𝑡

K	u, V	K	u, V	K	u, V	K	u, V
0	0	10	5,223081	20	2,162532	30	-8,88489
1	0,404329	11	5,703952	21	0,808387	31	-8,79455
2	0,824184	12	6,074163	22	-0,64159	32	-8,38888
3	1,273018	13	6,299292	23	-2,13263	33	-7,68483
4	1,760311	14	6,348193	24	-3,60519	34	-6,7128
5	2,28997	15	6,195457	25	-4,99794	35	-5,515
6	2,859187	16	5,823642	26	-6,25091	36	-4,14318
7	3,457821	17	5,225106	27	-7,30867	37	-2,65593
8	4,068399	18	4,403308	28	-8,12336	38	-1,11558
9	4,666725	19	3,373469	29	-8,65725	39	0,415087

u = f(kΔt)

2. 
   Nochiziqli zanjir chiqishidagi spektrni hisoblash.
   

𝑢 = 𝑈_𝑚1 sin 𝜔₁𝑡 − 𝑈_𝑚2 sin 𝜔₂𝑡
𝑖 = 𝑎₀ + 𝑎₁𝑢 + 𝑎₂𝑢²
𝑖 = 𝑎₀ + 𝑎₁(𝑈_𝑚1 sin 𝜔₁𝑡 − 𝑈_𝑚2 sin 𝜔₂𝑡) + 𝑎₂(𝑈_𝑚1 sin 𝜔₁𝑡 − 𝑈_𝑚2 sin 𝜔₂𝑡)²
𝑎₁(𝑈_𝑚1 sin 𝜔₁𝑡 − 𝑈_𝑚2 sin 𝜔₂𝑡) = 𝑎₁𝑈_𝑚1 sin 𝜔₁𝑡 − 𝑎₁𝑈_𝑚2 sin 𝜔₂𝑡
𝑎2(𝑈𝑚1 sin 𝜔1𝑡 − 𝑈𝑚2 sin 𝜔2𝑡)2 = 𝑎2𝑈𝑚12 sin2 𝜔1𝑡 −

−2𝑎2𝑈𝑚1𝑈𝑚2 sin 𝜔1𝑡 sin 𝜔2𝑡 + 𝑎2𝑈𝑚22 sin2 𝜔2𝑡 =

𝑤 = 2𝜋𝑓

𝐼𝑓1 = 𝑎1𝑈𝑚1 𝐼𝑓2 = 𝑎1𝑈𝑚2

𝐼𝑓₂−𝑓₁ = 𝑎2𝑈𝑚1𝑈𝑚2 𝐼𝑓₁+𝑓₂ = 𝑎2𝑈𝑚1𝑈𝑚2
𝑖 = 𝐼₀ + 𝐼_𝑓1 sin 2𝜋𝑓₁𝑡 − 𝐼_𝑓2 sin 2𝜋𝑓₂𝑡 − 𝐼_2𝑓1 cos 2𝜋2𝑓₁𝑡 − 𝐼_2𝑓2 cos 2𝜋2𝑓₂𝑡 −
−𝐼_𝑓2−_𝑓1 cos 2𝜋(𝑓₂ − 𝑓₁)𝑡 + 𝐼_𝑓1+_𝑓2 cos 2𝜋(𝑓₁ + 𝑓₂)𝑡

3. Nochiziqli zanjir chiqishidagi spektrni masshtab asosida chizish.